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Finding the Fourth Proportional to 3,396.54, 4,678.44 and 2,400.10

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Solution

The fourth proportional to 3,396.54, 4,678.44 and 2,400.10 is: 3,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.54 : 4,678.44 = 2,400.10 : x
  2. Step 2: Convert to fraction form
    3,396.54/4,678.44 = 2,400.10/x
  3. Step 3: Cross multiply
    3,396.54x = 4,678.44 × 2,400.10
  4. Step 4: Simplify right side
    3,396.54x = 11,228,703.15
  5. Step 5: Solve for x
    x = 11,228,703.15/3,396.54
  6. Step 6: Final answer
    x = 3,305.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.